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Finding the Fourth Proportional to 569.05, 785.38 and 333.14

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Solution

The fourth proportional to 569.05, 785.38 and 333.14 is: 459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.05 : 785.38 = 333.14 : x
  2. Step 2: Convert to fraction form
    569.05/785.38 = 333.14/x
  3. Step 3: Cross multiply
    569.05x = 785.38 × 333.14
  4. Step 4: Simplify right side
    569.05x = 261,637.98
  5. Step 5: Solve for x
    x = 261,637.98/569.05
  6. Step 6: Final answer
    x = 459.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.